Okay, so what’s the point of “proving” that there some “infinities” are “bigger” than others? What’s the practical application here? Because an infinite hotel with an infinite number of guests is physically impossible, so I don’t see the point.
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Practical application in math tends to be like three degrees of separation and half a century removed from the math at play. In this case, all of modern mathematics is based on set theory, so it's more that this stuff allows us to do other, more practically useful math while knowing what we're talking about.
like the infinite monkeys with typewritters, universal limits to the rescue. Trolley's are slow. Each bump makes them slower. Some of the people in the discrete line will have long lives until an excruciatingly painful death from dehydration.
An infinite amount of people on the track implies that the track is infinitely long. If that is not the case and the track is a normal length then the sudden addition of all that bio-mass in a finite space will cause a gravitational collapse. But will the collapse start on the first track or the second? Either way I hope you saved your game because you might lose your progress.
Hold the lever halfway so the trolley picks both rails at the same time, to ensure highest possible kill comboq
That's effectively just the bottom track, where an uncountable number of people (literally) will die as soon as the train reaches position (0.
What about a time loop where only one person dies, but infinite times?
Bottom. Train will stall/derail faster.
either way infinite people die, just not getting involved
Multilane drifting!
It'll make it through maybe 3 infinities before derailing. Go bottom, end it faster.
I don't think we want a world where there are any sort of infinity of people, and I don't think a tram is the solution to revert a world from having its infinities to having a finite number
I also see practicality problems in tying even a small infinity of people to railway tracks, as that requires yet another infinity of people to hold people down, and another infinity of people people to do the tying (as well as the infinities of people to do the tying and holding on the other track) and all of those people will have to be fed and watered with infinite amounts of food and water (some infinities of people for infinite time), the infinities of people tying people down would need some education, implying infinite teachers
It's a logistic nightmare
If the next person getting tied down holds down the person currently being tied down then this could work. I’m sure they’d be game so that’s fine.
I take the square root of all the negative real numbers and kill in an entirely new dimension.
Like everything else in this holographic universe we live in, I’d just close my eyes and believe the bodies I’m trampling are imaginary.
I do what I always do: run to the trolley, then jump up and pull the emergency stop because I hate false dilemmas.
Correct, because if we ignore some important facts you could also have infinite time to stop the trolley. Checkmate, false dilemma creators.
I remember seeing a science show on PBS where the presenter explained how there are different infinities by using set theory and the integers/reals. That was mind-blowing at the time.